105556005055152 has 60 divisors (see below), whose sum is σ = 295411635726480. Its totient is φ = 35185165037184.

The previous prime is 105556005055147. The next prime is 105556005055153. The reversal of 105556005055152 is 251550500655501.

It is a super-2 number, since 2×105556005055152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105556005055098 and 105556005055107.

It is not an unprimeable number, because it can be changed into a prime (105556005055153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30128749 + ... + 33449267.

It is an arithmetic number, because the mean of its divisors is an integer number (4923527262108).

Almost surely, 2^{105556005055152} is an apocalyptic number.

105556005055152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105556005055152 is an abundant number, since it is smaller than the sum of its proper divisors (189855630671328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105556005055152 is a wasteful number, since it uses less digits than its factorization.

105556005055152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541290 (or 3541281 counting only the distinct ones).

The product of its (nonzero) digits is 937500, while the sum is 45.

The spelling of 105556005055152 in words is "one hundred five trillion, five hundred fifty-six billion, five million, fifty-five thousand, one hundred fifty-two".